Promjena Debyeve teorije specifične topline u neekstenzivnoj statistici

Autor: Wolf, Carl
Jazyk: angličtina
Rok vydání: 1998
Předmět:
Zdroj: Fizika B : a journal of experimental and theoretical physics
Volume 7
Issue 4
ISSN: 1333-9133
1330-0016
Popis: By allowing for a multi-fractal distribution for the population densities of the states of a harmonic oscillator we demostrate that the thermal average energy of a quantizied harmonic oscillator receives a correction due to the non-extensive statistics of Tsallis. By applying this result to the phonon spectrum we show that this in turn generates an anomalous correction to the Debye formula for the specific heat of a solid at low temperatures.
Pretpostavi li se višefraktalna raspodjela gustoće popunjenosti stanja harmoničkog oscilatora, pokazuje se da, prema Tsallisovoj neekstenzivnoj statistici, prosječna toplinska energija kvantiziranog oscilatora prima popravku. Primjenom tog ishoda na fononski spektar, dobiva se anomalna popravka Debyevog izraza za specifičnu toplinu čvrsnine na niskim temperaturama.
Databáze: OpenAIRE